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Finding the Third Proportional to 311,038 and 440,038.50

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Solution

The third proportional to 311,038 and 440,038.50 is: 622,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,038 : 440,038.50 = 440,038.50 : x
  2. Step 2: Convert to fraction form
    311,038/440,038.50 = 440,038.50/x
  3. Step 3: Cross multiply
    311,038x = 440,038.50 × 440,038.50
  4. Step 4: Simplify right side
    311,038x = 193,633,881,482.25
  5. Step 5: Solve for x
    x = 193,633,881,482.25/311,038
  6. Step 6: Final answer
    x = 622,540.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.